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2313222120 = 23325112920143
BaseRepresentation
bin1000100111100000…
…1111011111101000
312222012201212012100
42021320033133220
514214141101440
61021312213400
7111216030546
oct21170173750
95865655170
102313222120
11a87832020
1254683a260
132ab3244b1
1417d310d96
15d8134230
hex89e0f7e8

2313222120 has 192 divisors, whose sum is σ = 8484652800. Its totient is φ = 541416960.

The previous prime is 2313222097. The next prime is 2313222137. The reversal of 2313222120 is 212223132.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2313222093 and 2313222102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104769 + ... + 124911.

It is an arithmetic number, because the mean of its divisors is an integer number (44190900).

Almost surely, 22313222120 is an apocalyptic number.

2313222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2313222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4242326400).

2313222120 is an abundant number, since it is smaller than the sum of its proper divisors (6171430680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2313222120 is a wasteful number, since it uses less digits than its factorization.

2313222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20200 (or 20193 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2313222120 is about 48095.9678143605. The cubic root of 2313222120 is about 1322.5307509142.

Adding to 2313222120 its reverse (212223132), we get a palindrome (2525445252).

The spelling of 2313222120 in words is "two billion, three hundred thirteen million, two hundred twenty-two thousand, one hundred twenty".